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Finding the Third Proportional to 81,502 and 172,814

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Solution

The third proportional to 81,502 and 172,814 is: 366,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502 : 172,814 = 172,814 : x
  2. Step 2: Convert to fraction form
    81,502/172,814 = 172,814/x
  3. Step 3: Cross multiply
    81,502x = 172,814 × 172,814
  4. Step 4: Simplify right side
    81,502x = 29,864,678,596
  5. Step 5: Solve for x
    x = 29,864,678,596/81,502
  6. Step 6: Final answer
    x = 366,428.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.